Din, Qamar; Shabir, Muhammad Sajjad; Khan, Muhammad Asif A cubic autocatalator chemical reaction model with limit cycle analysis and consistency preserving discretization. (English) Zbl 1505.92309 MATCH Commun. Math. Comput. Chem. 87, No. 2, 441-462 (2022). MSC: 92E20 34C05 34C23 PDFBibTeX XMLCite \textit{Q. Din} et al., MATCH Commun. Math. Comput. Chem. 87, No. 2, 441--462 (2022; Zbl 1505.92309) Full Text: DOI
Khan, Muhammad Salman Bifurcation analysis of a discrete-time four-dimensional cubic autocatalator chemical reaction model with coupling through uncatalysed reactant. (English) Zbl 1505.92315 MATCH Commun. Math. Comput. Chem. 87, No. 2, 415-439 (2022). MSC: 92E20 34C23 34H10 PDFBibTeX XMLCite \textit{M. S. Khan}, MATCH Commun. Math. Comput. Chem. 87, No. 2, 415--439 (2022; Zbl 1505.92315) Full Text: DOI
Brechmann, Pia; Rendall, Alan D. Unbounded solutions of models for glycolysis. (English) Zbl 1457.92057 J. Math. Biol. 82, No. 1-2, Paper No. 1, 23 p. (2021). MSC: 92C40 34C11 37N25 PDFBibTeX XMLCite \textit{P. Brechmann} and \textit{A. D. Rendall}, J. Math. Biol. 82, No. 1--2, Paper No. 1, 23 p. (2021; Zbl 1457.92057) Full Text: DOI arXiv
Flach, E. H.; Norbury, J.; Schnell, S. Limit cycles in the presence of convection: a first-order analysis. (English) Zbl 1135.92038 J. Math. Chem. 43, No. 1, 101-110 (2008). MSC: 92E20 34C05 65C20 PDFBibTeX XMLCite \textit{E. H. Flach} et al., J. Math. Chem. 43, No. 1, 101--110 (2008; Zbl 1135.92038) Full Text: DOI Link
Hasal, P.; Merkin, J. H. Symmetry breaking, bifurcations, quasiperiodicity, and chaos due to electric fields in a coupled cell model. (English) Zbl 1080.92503 Chaos 12, No. 1, 72-86 (2002). MSC: 92B05 92C05 37N25 PDFBibTeX XMLCite \textit{P. Hasal} and \textit{J. H. Merkin}, Chaos 12, No. 1, 72--86 (2002; Zbl 1080.92503) Full Text: DOI
Satnoianu, Razvan A.; Maini, Philip K.; Menzinger, Michael Parameter space analysis, pattern sensitivity and model comparison for Turing and stationary flow-distributed waves (FDS). (English) Zbl 1001.35061 Physica D 160, No. 1-2, 79-102 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 35K57 92C15 37N25 35B32 92E20 PDFBibTeX XMLCite \textit{R. A. Satnoianu} et al., Physica D 160, No. 1--2, 79--102 (2001; Zbl 1001.35061) Full Text: DOI
Satnoianu, Razvan A.; Merkin, John H.; Scott, Stephen K. Forced convective structures in a differential flow reactor. (English) Zbl 0935.35063 Dyn. Stab. Syst. 14, No. 3, 275-298 (1999). Reviewer: B.A.Malomed (Tel Aviv) MSC: 35K57 35B32 35K60 80A32 92E20 PDFBibTeX XMLCite \textit{R. A. Satnoianu} et al., Dyn. Stab. Syst. 14, No. 3, 275--298 (1999; Zbl 0935.35063) Full Text: DOI
Hill, R.; Merkin, J. H.; Needham, D. J. Stable pattern and standing wave formation in a simple isothermal cubic autocatalytic reaction scheme. (English) Zbl 0847.35064 J. Eng. Math. 29, No. 5, 413-436 (1995). Reviewer: V.D.Rădulescu (Craiova) MSC: 35K57 92E20 35B32 PDFBibTeX XMLCite \textit{R. Hill} et al., J. Eng. Math. 29, No. 5, 413--436 (1995; Zbl 0847.35064) Full Text: DOI
Leach, J. A.; Merkin, J. H.; Scott, S. K. Two-cell coupled nonlinear chemical oscillator: Asymmetric cells. (English) Zbl 0793.92017 Dyn. Stab. Syst. 8, No. 2, 81-100 (1993). MSC: 92E20 80A30 34C23 PDFBibTeX XMLCite \textit{J. A. Leach} et al., Dyn. Stab. Syst. 8, No. 2, 81--100 (1993; Zbl 0793.92017) Full Text: DOI
Leach, J. A.; Merkin, J. H.; Scott, S. K. Two-cell coupled cubic autocatalator: The effect of the uncatalysed reaction. (English) Zbl 0782.92023 Dyn. Stab. Syst. 7, No. 4, 245-266 (1992). Reviewer: D.Dorninger (Wien) MSC: 92E20 80A30 PDFBibTeX XMLCite \textit{J. A. Leach} et al., Dyn. Stab. Syst. 7, No. 4, 245--266 (1992; Zbl 0782.92023) Full Text: DOI
Leach, J. A.; Merkin, J. H.; Scott, S. K. An analysis of a two-cell coupled nonlinear chemical oscillator. (English) Zbl 0761.92048 Dyn. Stab. Syst. 6, No. 4, 341-366 (1991). Reviewer: D.Dorninger (Wien) MSC: 92E20 80A30 PDFBibTeX XMLCite \textit{J. A. Leach} et al., Dyn. Stab. Syst. 6, No. 4, 341--366 (1991; Zbl 0761.92048) Full Text: DOI
Forbes, L. K.; Holmes, C. A. Limit-cycle behaviour in a model chemical reaction: The cubic autocatalator. (English) Zbl 0719.34047 J. Eng. Math. 24, No. 2, 179-189 (1990). MSC: 34C05 34D10 65J99 34C15 92E20 PDFBibTeX XMLCite \textit{L. K. Forbes} and \textit{C. A. Holmes}, J. Eng. Math. 24, No. 2, 179--189 (1990; Zbl 0719.34047) Full Text: DOI
Merkin, J. H.; Needham, D. J. Reaction-diffusion in a simple pooled chemical system. (English) Zbl 0698.92027 Dyn. Stab. Syst. 4, No. 2, 141-167 (1989). Reviewer: D.Dorninger MSC: 92Exx 80A30 35K05 PDFBibTeX XMLCite \textit{J. H. Merkin} and \textit{D. J. Needham}, Dyn. Stab. Syst. 4, No. 2, 141--167 (1989; Zbl 0698.92027) Full Text: DOI
Gray, B. F.; Merkin, J. H.; Roberts, M. J. On the structural stability of the cubic autocatalytic scheme in a closed vessel. (English) Zbl 0673.93070 Dyn. Stab. Syst. 4, No. 1, 31-54 (1989). MSC: 93D99 37G99 92Exx PDFBibTeX XMLCite \textit{B. F. Gray} et al., Dyn. Stab. Syst. 4, No. 1, 31--54 (1989; Zbl 0673.93070) Full Text: DOI